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Question #8673

Prove if c is in the Real Numbers, osc (cf,S) = |c|(osc(f,S)).

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**1.**Prove osc(f+g),S) <= osc(f,S) + osc(g,S)**2.**Let f:[a,b]->Real Numbers R be integrable and c be an element of the Real Number…**3.**if f:[a,b]->R is integrable, show that the restriction of f to any interval [c,d…**4.**Show in detail that the integral from 0 to 1 of x^2dx= 1/3.**5.**Prove: If f and g are differentiable and a is in the real numbers, then (fg)'(…**6.**Find the maclaurin series for sinx and cosx and show that they converge for all x to th…**7.**Use Taylor's theorem with n=3 to find an estimate for square root of 65 and gi…

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